Radiative-nonrecoil corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium

TL;DR

This paper calculates high-order quantum electrodynamics corrections to the hyperfine splitting in muonium, enhancing the precision of theoretical predictions by analyzing complex Feynman diagrams with advanced regularization and computational techniques.

Contribution

It provides new, more precise calculations of alpha^2 (Z alpha) E_F corrections to muonium hyperfine splitting using a combination of analytical and numerical methods.

Findings

Improved accuracy of hyperfine splitting predictions.

Comprehensive evaluation of Feynman diagrams in dimensional regularization.

Enhanced theoretical framework for muonium spectroscopy.

Abstract

We present results for the corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium. We compute all the contributing Feynman diagrams in dimensional regularization and a general covariant gauge using a mixture of analytical and numerical methods. We improve the precision of previous results.